The existence of an indecomposable minimal genus two lefschetz fibration

Anar Akhmedov, Naoyuki Monden

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

It was shown by Usher that any fiber sum of Lefschetz fibrations over S2 is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists a genus-2 indecomposable minimal Lefschetz fibration (IMLF for short).

Original languageEnglish (US)
Pages (from-to)29-36
Number of pages8
JournalOsaka Journal of Mathematics
Volume58
Issue number1
StatePublished - Jan 2021

Bibliographical note

Publisher Copyright:
© 2021, Osaka University. All rights reserved.

Fingerprint

Dive into the research topics of 'The existence of an indecomposable minimal genus two lefschetz fibration'. Together they form a unique fingerprint.

Cite this